means To fold or wind something around an object so it's covered or enclosed — or the noun for whatever does the covering, from gift paper to a flatbread folded around fillings.

from From Middle English 'wrappen,' meaning to wind or fold, with murky Germanic roots — possibly related to words for twisting or coiling. The lunch sense is a 1990s invention, when delis decided a rolled tortilla sounded lighter than a sandwich; the 'film wrap' sense of a movie shoot is separate slang, supposedly an acronym backronym ('Wind, Reel, And Print'), but that's almost certainly a clever after-the-fact story rather than the true origin.